document.write( "Question 850929: if cos t=0.4, with t in quadrant IV, find tan(t+pi) \n" ); document.write( "
Algebra.Com's Answer #512496 by lwsshak3(11628) ![]() You can put this solution on YOUR website! if cos t=0.4, with t in quadrant IV, find tan(t+pi) \n" ); document.write( "cos t=0.4=2/5( In quadrant IV in which cos>0, sin<0, tan<0 \n" ); document.write( " \n" ); document.write( "tan t=sin/cos= \n" ); document.write( "Identity: \n" ); document.write( "tan(t+π)=-√21/2+0/(1-√21/2*0=-√21/2 \n" ); document.write( ".. \n" ); document.write( "calculator check: \n" ); document.write( "cos t=0.4 \n" ); document.write( "t≈293.58˚ \n" ); document.write( "t+π≈473.58˚ \n" ); document.write( "tan(t+π)≈tan(473.58˚)≈-2.2910 \n" ); document.write( "Exact value=-√21/2≈-2.2912 \n" ); document.write( " |